670908956400 has 360 divisors, whose sum is σ = 2486230930560. Its totient is φ = 167166720000.

The previous prime is 670908956383. The next prime is 670908956407. The reversal of 670908956400 is 4659809076.

670908956400 is a `hidden beast` number, since 6 + 70 + 9 + 0 + 8 + 9 + 564 + 0 + 0 = 666.

670908956400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670908956407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3132750 + ... + 3340050.

Almost surely, 2^670908956400 is an apocalyptic number.

670908956400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670908956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243115465280).

670908956400 is an abundant number, since it is smaller than the sum of its proper divisors (1815321974160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

670908956400 is a wasteful number, since it uses less digits than its factorization.

670908956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207385 (or 207371 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 670908956400 in words is "six hundred seventy billion, nine hundred eight million, nine hundred fifty-six thousand, four hundred".